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Global controllability tests for geometric hybrid control systems

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1905.02490.pdf (375,6Kb)
 
10.1016/j.nahs.2020.100935
 
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hdl:2117/331649

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Barberó Liñan, María
Cortés, Jorge
Martín de Diego, David
Martínez, Sonia
Muñoz Lecanda, Miguel CarlosMés informacióMés informació
Document typeArticle
Defense date2020-11-01
Rights accessOpen Access
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder
ProjectASPECTOS GEOMETRICOS EN MECANICA, CONTROL, TEORIA DE CAMPOS Y GRAVITACION (MINECO-MTM2014-54855-P)
Abstract
This paper introduces a novel geometric framework to define and study hybrid systems. We exploit the geometry and topology of the set of jump points, where the instantaneous change of dynamics takes place, in order to gain controllability for the system. This approach allows us to describe new global controllability tests for hybrid control systems. We illustrate these results with several examples where none of the continuous control systems are controllable, but the associated hybrid system is controllable because of the characteristics of the jump set.
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© 2020. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
CitationBarberó, M. [et al.]. Global controllability tests for geometric hybrid control systems. "Nonlinear Analysis-Hybrid Systems", 1 Novembre 2020, vol. 38, núm. 100935. 
URIhttp://hdl.handle.net/2117/331649
DOI10.1016/j.nahs.2020.100935
ISSN1751-570X
Publisher versionhttps://www.sciencedirect.com/science/article/abs/pii/S1751570X20300820
Other identifiershttps://arxiv.org/pdf/1905.02490.pdf
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